Question

which angles are supplementary to ∠6? select all that apply.

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary. Also, vertical angles and other angle relationships in intersecting lines can be used to find supplementary angles.

Step2: Identify adjacent angles to ∠6

∠6 and ∠5 form a linear pair (a straight - line), so ∠5 is supplementary to ∠6.

Step3: Identify vertical - angle related supplementary angles

∠6 and ∠8 are vertical angles. ∠7 and ∠8 form a linear pair, so ∠7 is also supplementary to ∠6.

Answer:

∠5, ∠7